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Question 9

Density of a gas is found to be 5.46 g/dm3 at 27 °C at 2 bar pressure. What will be its density at STP?

Answer

For an ideal gas

Density ρ = p x M/ RT

F rom the given data,

5.46 = 2 x M/ 300 x R    ………(1)

ALSO  ρSTP = 1 x M/ 273 x R    ………..(2)

FROM (1) & (2) ,WE GET

ρSTP =  (1 x M/ 273 x R)   x  (300 x R/ 2 x M) x 5.46

= 300 x 5.46 / 273 X 2 = 3.00 g/dm3

Hence, the density of the gas at STP will be 3 g dm–3.

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